Two blocks are connected by a rope, through a pulley as shown in this figure.
The block on the table has mass m1=kg and the hanging block has mass m2=kg . The table and pulley are both frictionless.
Find T, the tension in the connecting rope, and the acceleration of the blocks.

A block of mass m=kg sits at the top of an inclined plane of angle \theta=degrees .
The inclined plane has a length of d=m and is frictionless. How long does it take the block
to slide to the bottom of the incline?

Two blocks, one of mass m1=kg and the other of mass m2=kg are an an inclined
plane as shown. The angle of the incline is \theta=degrees . Find the tension, T, in the rope
that connects them through the frictionless pulley, and the acceleration, a, of the blocks.

Two blocks, one of mass m1=kg and the other of mass m2=kg both on inclined
surfaces shown. The angle of the left incline is \theta 1=degrees . And other
other angle is \theta 2=degrees . Find the tension, T, in the rope
that connects the blocks through the frictionless pulley, and the acceleration, a, of the blocks.

This person wants to accelerate the lawn mower at m/s2 . The lawn mower has
a mass of m=kg . The person pushes on the lawn mower at an angle \theta=degrees .
With what force, F, should they
push, in the direction shown, to do so? There are no other forces acting on the lawn mower, other
than F, the person's push.

You are looking at a car coming at you, which is traveling in a circle, on a banked turn, like those found on high speed race tracks.
It is a cold winter's day, and the track has a sheet of ice on it, making the surface very slippery, even frictionless.

The turn is banked at an angle \theta=degrees and has a radius of m . What speed must the
car travel at to 1) not slide out of the turn (up and to the left)and 2) not slide down into the turn?

A "tug-of-war" has started with an old tire in the center. Three people are pulling, as shown.
Person 1, exerts F1=N has shown, straight to the left.
Person 2, exerts F2=N , straight down
in the figure, and person 3 exerts some force F3, at some angle
\theta as shown.
With what force (F3), and at what angle (\theta) should person 3 pull so that the tire doesn't move at all?
\symbollook{top,20}

Two blocks are connected by a rope, through a pulley as shown in this figure.
The block on the table has mass m1=kg and the hanging block has mass m2=kg . The
coefficient of friction between the block and the table is \mu= The pulley is frictionless.
Find T, the tension in the connecting rope, and the acceleration of the blocks.

A block of mass m=kg is pushed down an incline plane with speed v0=m/s .
The angle of the incline is \theta=degrees , and it has a
length of d=m and has a coefficient of friction \mu= .
Will the block stop on the incline?

Two blocks are set up as shown here.
m1 has a mass of kg . A coefficient of static friction, \mu= exists
between m1 and the table it's sitting on. The diagonal rope is tied at an angle \theta=degrees .

What is the maximum mass that m2 may have so that m1 does not slip off of the table?

A block of mass M=kg is free to slide on a frictionless surface. Another block, of mass
m=kg , is pushed against M with a force F. The contact between m and M has coefficient of friction
\mu= , as shown here.
What constant force is needed so that m will not slide down and fall off of M?

A block of mass m=kg on an inclined plane is pushed with a horizontal force P as shown here.
The coefficient of sliding friction between the block and the surface
of the inclined plane of \mu= , and the angle of the incline is \theta=degrees .
What should the magnitude of P be, in order
for the block to have an acceleration of m/s2 ?